MinT - Information on Result #2635489

Information on Result #2635489

Linear OOA(4²¹⁶, 74, F₄, 3, 176) (dual of [(74, 3), 6, 177]-NRT-code), using strength reduction based on linear OOA(4²¹⁶, 74, F₄, 3, 178) (dual of [(74, 3), 6, 179]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³⁹, 15, F₄, 3, 35) (dual of [(15, 3), 6, 36]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁷¹, 59, F₄, 3, 142) (dual of [(59, 3), 6, 143]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(4¹²⁹, 45, F₄, 3, 108) (dual of [(45, 3), 6, 109]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code) (see above)
        linear OOA(4⁸⁷, 31, F₄, 3, 74) (dual of [(31, 3), 6, 75]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code) (see above)
        linear OOA(4⁴⁵, 17, F₄, 3, 40) (dual of [(17, 3), 6, 41]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.